Question

Write the projection of vectors b + c on a, when a = 2i - 2j + k, b = i + 2j + 2k, and c = 2i - j + 4k.

Answer 1

Given, \(\vec a=2\hat i - 2\hat j + \hat k\)

\(\vec b=\hat i+2\hat j+2\hat k\)

\(\vec c=2i-\hat j+4\hat k\)

Now, to find projection of  \(\vec b+\vec c\) on  \(\vec a\) i.e. \(\vec d\) on  \(\vec a\)